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2141224420 = 225107061221
BaseRepresentation
bin111111110100000…
…0111110111100100
312112020002110201011
41333220013313210
513341123140140
6552245512004
7104030051536
oct17750076744
95466073634
102141224420
119a9735665
124b9112604
132817c2aca
1416453b856
15c7eabcea
hex7fa07de4

2141224420 has 12 divisors (see below), whose sum is σ = 4496571324. Its totient is φ = 856489760.

The previous prime is 2141224381. The next prime is 2141224429. The reversal of 2141224420 is 244221412.

It can be written as a sum of positive squares in 2 ways, for example, as 359709156 + 1781515264 = 18966^2 + 42208^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2141224391 and 2141224400.

It is not an unprimeable number, because it can be changed into a prime (2141224429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53530591 + ... + 53530630.

It is an arithmetic number, because the mean of its divisors is an integer number (374714277).

Almost surely, 22141224420 is an apocalyptic number.

2141224420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141224420 is an abundant number, since it is smaller than the sum of its proper divisors (2355346904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2141224420 is a wasteful number, since it uses less digits than its factorization.

2141224420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107061230 (or 107061228 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2141224420 is about 46273.3662056263. The cubic root of 2141224420 is about 1288.9044681970.

Adding to 2141224420 its reverse (244221412), we get a palindrome (2385445832).

The spelling of 2141224420 in words is "two billion, one hundred forty-one million, two hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 107061221 214122442 428244884 535306105 1070612210 2141224420